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55435450240 = 2757910710247
BaseRepresentation
bin110011101000001101…
…011101011110000000
312022002101120122121201
4303220031131132000
51402012433401430
641244450030544
74001512360312
oct635015353600
9168071518551
1055435450240
1121567959295
12a8b1278454
1352c5ba2881
14297c5837b2
151696b638ca
hexce835d780

55435450240 has 128 divisors (see below), whose sum is σ = 135470361600. Its totient is φ = 21686765568.

The previous prime is 55435450201. The next prime is 55435450267. The reversal of 55435450240 is 4205453455.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 55435450240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5404797 + ... + 5415043.

It is an arithmetic number, because the mean of its divisors is an integer number (1058362200).

Almost surely, 255435450240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55435450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67735180800).

55435450240 is an abundant number, since it is smaller than the sum of its proper divisors (80034911360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55435450240 is a wasteful number, since it uses less digits than its factorization.

55435450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 37.

The spelling of 55435450240 in words is "fifty-five billion, four hundred thirty-five million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 107 128 158 160 214 316 320 395 428 535 632 640 790 856 1070 1264 1580 1712 2140 2528 3160 3424 4280 5056 6320 6848 8453 8560 10112 10247 12640 13696 16906 17120 20494 25280 33812 34240 40988 42265 50560 51235 67624 68480 81976 84530 102470 135248 163952 169060 204940 270496 327904 338120 409880 540992 655808 676240 809513 819760 1081984 1096429 1311616 1352480 1619026 1639520 2192858 2704960 3238052 3279040 4047565 4385716 5409920 5482145 6476104 6558080 8095130 8771432 10964290 12952208 16190260 17542864 21928580 25904416 32380520 35085728 43857160 51808832 64761040 70171456 86617891 87714320 103617664 129522080 140342912 173235782 175428640 259044160 346471564 350857280 433089455 518088320 692943128 701714560 866178910 1385886256 1732357820 2771772512 3464715640 5543545024 6929431280 11087090048 13858862560 27717725120 55435450240